Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications

TL;DR

This paper integrates the Stochastic Vacuum Model with a Worldline formalism to analyze non-perturbative QCD features, demonstrating Regge behavior in meson-meson scattering within a semiclassical approximation.

Contribution

It introduces a novel combination of the Stochastic Vacuum Model with Worldline techniques to study non-perturbative QCD phenomena and meson scattering.

Findings

Validated loop equations and Bianchi identity within the model

Demonstrated Regge behavior in meson-meson scattering

Estimated effects of boundary fluctuations on Wilson loops

Abstract

The Stochastic Vacuum Model for QCD, proposed by Dosch and Simonov, is fused with a Worldline casting of the underlying theory, i.e. QCD. Important, non-perturbative features of the model are studied. In particular, contributions associated with the spin-field interaction are calculated and both the validity of the loop equations and of the Bianchi identity are explicitly demonstrated. As an application, a simulated meson-meson scattering problem is studied in the Regge kinematical regime. The process is modeled in terms of the "helicoidal" Wilson contour along the lines introduced by Janik and Peschanski in a related study based on a AdS/CFT-type approach. Working strictly in the framework of the Stochastic Vacuum Model and in a semiclassical approximation scheme the Regge behavior for the Scattering amplitude is demonstrated. Going beyond this approximation, the contribution resulting from boundary fluctuation of the Wilson loop contour is also estimated.